| 关于B－D算子的导数对有界变差函数的逼近 |
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| 引用本文： | 徐淳宁,李宾, 魏萍.关于B－D算子的导数对有界变差函数的逼近[J].吉林大学学报(信息科学版),1994(4). |
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| 作者姓名： | 徐淳宁 李宾 魏萍 |
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| 作者单位： | 长春邮电学院函授部，吉林建筑工程学院 |
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| 摘 要： | 研究了Ｂｅｒｎｓｔｅｉｎ－Ｄｕｒｒｍｅｙｅｒ算子Ｄｎ（ｆ，ｘ）的导数Ｄｎ＇（ｆ，ｘ）对区间［０，１］上的有界变差函数ｆ’的逼近，给出了｜Ｄｎ’（ｆ，ｘ）－（ｆ’（ｘ＋）＋ｆ’（ｘ－））／２｜的误差估计，证明了本文所得到的收敛阶是不能改进的。
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| 关 键 词： | 导数，逼近，有界变差函数／Bernstein－Durrmeyer算子 |
On the approximation of B-D operator's derivative for the functions of bounded variation |
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| Xu Chunning Li Bin Wei Ping.On the approximation of B-D operator''''s derivative for the functions of bounded variation[J].Journal of Jilin University:Information Sci Ed,1994(4). |
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| Authors: | Xu Chunning Li Bin Wei Ping |
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| Abstract: | Having studied the approximation by the derivative of Bernstein-Durrmeyer operators to the derivative of functions with bounded variation in the close in-terval 0 to 1 ,the error estimation is given and the deduction proves that this results cannot be further improved. |
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| Keywords: | derivative approximation functions of bounded variation Bern-stein-Durrmeyer operator |
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